Iterative parameter and order identification for fractional‐order nonlinear finite impulse response systems using the key term separation

2021 ◽  
Author(s):  
Junwei Wang ◽  
Yan Ji ◽  
Chen Zhang
Keyword(s):  
Impulse Response ◽  
Fractional Order ◽  
Finite Impulse Response ◽  
Response Systems

An efficient design of finite impulse response — Fractional-order differentiator using shuffled frog leaping algorithm heuristic

2019 ◽  
Vol 18 (01) ◽  
pp. 1941005
Author(s):  
G. S. S. S. S. V. Krishna Mohan ◽  
Yarravarapu Srinivasa Rao
Keyword(s):  
Signal Processing ◽  
Impulse Response ◽  
Fractional Order ◽  
Finite Impulse Response ◽  
Fitness Function ◽  
Infinite Length ◽  
Shuffled Frog Leaping Algorithm ◽  
Digital Differentiator ◽  
Shuffled Frog Leaping ◽  
Fractional Order Differentiator

A fractional-order digital differentiator is employed for the calculation of a time-derivative of the applied signal. In the recent few decades, this particular concept of a fractional derivative has been gaining a lot of attention in various applications concerning engineering, technology and science that includes image processing along with automatic control. Once there has been an effective use for this continuous-time Fractional-Order Differentiator (FOD), the trend in its research is primarily toward using a discrete-time fractional differentiator. All these conventional techniques tend to make use of a unimodal function for approximating an ideal FOD. For these techniques, there is a minimization of the fitness function that is accomplished by the algorithms which are based on the gradient. The fractional-order circuits along with their systems include an emerging area that has a high level of potential in aspects such as the biomedical instrumentation, control or signal processing. A digital differentiator is a tool that is extremely helpful in the determination and estimation of time derivatives of any given signal. Irrespective of the actual type of filter chosen (the Finite Impulse Response (FIR) or the Infinite-Length Impulse Response (IIR)), it is critical to bring down the complexity of computation needed for the implementation of the filter for a certain bandwidth and error of approximation. A metaheuristic algorithm normally has some advantages in the solving of problems which are Non-Deterministic Polynomial (NP)-hard. The Shuffled Frog Leaping Algorithm (SFLA) has been a new heuristic algorithm proposed in this work for the determination of optimal coefficients of the problem of FIR-FOD. A design for fractional-order-based digital differentiator is not a very important topic in research and signal processing.

scholarly journals Preserving Privacy of Finite Impulse Response Systems

2017 ◽  
Vol 1 (1) ◽  
pp. 128-133 ◽  
Author(s):  
Giulio Bottegal ◽  
Farhad Farokhi ◽  
Iman Shames
Keyword(s):  
Impulse Response ◽  
Finite Impulse Response ◽  
Response Systems
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